1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
konstantin123 [22]
2 years ago
7

Write an equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the l

ine − 4 x − 3 y  =  − 5
Mathematics
1 answer:
mamaluj [8]2 years ago
8 0

The equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5 is y = \frac{3}{4}x - \frac{5}{4}

<em><u>Solution:</u></em>

<em><u>The slope intercept form is given as:</u></em>

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Given that the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5

Given line is perpendicular to  − 4 x − 3 y  =  − 5

− 4 x − 3 y  =  − 5

-3y = 4x - 5

3y = -4x + 5

y = \frac{-4x}{3} + \frac{5}{3}

On comparing the above equation with eqn 1, we get,

m = \frac{-4}{3}

We know that product of slope of a line and slope of line perpendicular to it is -1

\frac{-4}{3} \times \text{ slope of line perpendicular to it}= -1\\\\\text{ slope of line perpendicular to it} = \frac{3}{4}

Given point is (-1, -2)

Now we have to find the equation of line passing through (-1, -2) with slope m = \frac{3}{4}

Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1

-2 = \frac{3}{4}(-1) + c\\\\-2 = \frac{-3}{4} + c\\\\c = - 2 + \frac{3}{4}\\\\c = \frac{-5}{4}

\text{ substitute } c = \frac{-5}{4} \text{ and } m = \frac{3}{4} \text{ in eqn 1}

y = \frac{3}{4} \times x + \frac{-5}{4}\\\\y = \frac{3}{4}x - \frac{5}{4}

Thus the required equation of line is found

You might be interested in
Which unit rate corresponds to the proportional relationship shown in the graph
Ray Of Light [21]

Answer:

5/4 8.10.............0.0 5=7=9

3 0
2 years ago
A right rectangular prism with dimensions of 2 cm 5 cm and 10 cm is shown.
lions [1.4K]

Answer:

What is the similar in the United States to the Canadian Charter of Rights and Freedoms?

Step-by-step explanation:

Volume= Length x Width x Height

though it does not have a diagram in this situation it does not matter the order you put the numbers in. any way you multiply them you will get the same answer/volume.

10cm x 5cm x 2cm=100cm^3

Hope this helps!

3 0
2 years ago
Subtract the rational expression 1/x^2-x-6 - x/x+2.
Aleksandr [31]

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\

                      = \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\

4 0
2 years ago
What is the length of line FB?
juin [17]
The length of the line is 21.
8 0
3 years ago
really need help on these two questions for geometry, please actually answer it instead of just grabbing points and leaving :'),
egoroff_w [7]

Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular, so ∠AED = 90° and ∠BEC = 90°.

∠DAE = 180° - ∠AED - ∠EDA = 180° - 90° - 35° = 55°

BD is a transversal across parallel sides AD and BC, so ∠EBC = ∠EDA = 35°.

∠BCE = 180° - ∠BEC - ∠EBC = 180° - 90° - 35° = 55°

5 0
2 years ago
Other questions:
  • Find the quotient.<br><br>5 over 7 divided by 7 over 10
    5·1 answer
  • The side of a cube is 9 cm long.What is the cube's surface area? ____ cm2A) 27B) 729 C) 486What is the cube's volume?Lol 729 ___
    8·1 answer
  • A map measuring 60 cm by 25 cm is reduced twice in the ratio 3:5. Calculate the final dimensions of the map.
    12·1 answer
  • Product day is an 8 oz bottle of cough medicine that sells for $1.36 product b is a 16 oz bottle of cough medicine that cost $3.
    5·1 answer
  • Dan bought 35 pieces of candy. He gave 4 pieces to each of his friends. He only has 3 pieces left. Which equation, when solved f
    6·2 answers
  • Is the following relation a function?
    13·1 answer
  • Hwlp me with this one plzzzzzzzzzzzz
    13·2 answers
  • Describe 2 ways to find the area of the shaded rectangle
    11·1 answer
  • Need help with all , 50 points.
    10·1 answer
  • In a recursive function, what is used to determine whether to stop or to continue with another recursive step
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!